The graph of the function f(x) is shown below.

part a: using interval notation, state the domain and range of the function.
part b: in two or more complete sentences, describe the specific characteristics of the function’s graph that led to your answer in part a.

Part A: [-3,5)

Part B: First of all, domain is the set of all x-values. -3 is the smallest x-value of this graph, and since it's a closed circle, you represent it with a bracket. 5 is the largest x-value, but it's and open circle so you use a parentheses to represent it.

3< x< 5

step-by-step explanation:

|x - 4| < 1

there are two solutions, one positive and one negative.   remember to flip the inequality when taking the negative solution

x-4 < 1       x-4 > -1

add 4 to each side

x-4+4 < 1+4       x-4+4 > -1+4

x< 5                 x> 3

3< x< 5

a: 1/6, j: 1/4

step-by-step explanation: you are welcome